|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
|
|
|
| ``Re: Hilbert space always Banach space?''
by mathcam on 2003-10-01 11:06:49 |
|
| Yup. Explicitly,
"Every Hilbert space is a Banach space."
:)
Q: But why?
A: A Banach space is a normed vector space complete with respect to that norm. A Hilbert space is a special kind of this where the norm is in fact an inner product.
Cam
|
| | [ reply | up | top ] | |
|
|
|
|
|
|
|
